求不定积分∫x^2-1/x-1dx
问题描述:
求不定积分∫x^2-1/x-1dx
答
∫ (x² - 1)/(x - 1) dx
= ∫ [(x - 1)(x + 1)]/(x - 1) dx
= ∫ (x + 1) dx
= x²/2 + x + C